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Finding the Fourth Proportional to 395.84, 546.80 and 313.84

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Solution

The fourth proportional to 395.84, 546.80 and 313.84 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.80 = 313.84 : x
  2. Step 2: Convert to fraction form
    395.84/546.80 = 313.84/x
  3. Step 3: Cross multiply
    395.84x = 546.80 × 313.84
  4. Step 4: Simplify right side
    395.84x = 171,607.71
  5. Step 5: Solve for x
    x = 171,607.71/395.84
  6. Step 6: Final answer
    x = 433.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.